[QSMS Monthly Seminar 2024-11-15] Toric degenerations from Newton-Okounkov bodies / Flat F-manifolds for smooth projective complete intersection varieties

by qsms posted Nov 15, 2024
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일정시작 2024-11-15
일정종료 2024-11-15
배경색상 #036eb7

2024년 11월 QSMS  Monthly Seminar

 

  • Date:   Nov 15th (Fri) 14:00 ~ 17:00
  • Place:  27-220 
  • Contents:

 

Speaker:  조윤형 

Title:  Toric degenerations from Newton-Okounkov bodies

Abstract:

In this talk, we will review the theory of Newton-Okounkov bodies including their constructions and applications to toric degenerations. If time permits, we will also discuss the conjecture about the existence of Fano toric degenerations of Fano manifolds which can be regarded as a stronger version of the existence problem of Landau-Ginzburg mirrors in Fano manifolds.

 

​​​​​​​Speaker:  박지훈

Title:  Flat F-manifolds for smooth projective complete intersection varieties

Abstract:
In this talk, I will explain how to construct formal flat F-manifold structures on the primitive cohomology H of a smooth projective Calabi-Yau complete intersection variety. My strategy is to convert an analysis on H to study on non-isolated hypersurface singularities using the Cayley trick; we associate a dGBV (differential Gerstenhaber-Batalin-Vilkovisky) algebra A to H, and solve its Maurer-Cartan equation in order to construct formal flat F-manifolds.

 

 


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